On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10

International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2834 2020 2020 On the Characterization of Some m-Plithogenic Vector Spaces and Their AH-Substructures Under the Condition 6 ≤ dim SPV ≤10 Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan Abdallah Abdallah Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan Abdallah Al Al-Husban Zayed Military College, Department of General Science, UAE Mutaz M. Abbas Ali The university of Jordan, Aqaba, Department of computer information systems Ahmed A. Alsaraireh Department of Mathematics, College of Science, Taibah University, Al-Madinah, Saudi Arabia Amani Shatarah Department of Mathematics, College of Science, Taibah University, Al-Madinah, Saudi Arabia Norah Mousa Alrayes This paper is concerned with studying symbolic m-plithogenic vector spaces with finite orders between 6 and 10, where it defines and characterizes the AH-subspaces, AH-kernels, and AH- linear transformations in five different symbolic m-plithogenic spaces (6-plithogenic, 7-plithogenic,10-plithogenic vector spaces). Also, we prove many theorems that describe the computation of the kernels and direct images of the plithogenic AH-linear transformations. 2024 2024 258 267 10.54216/IJNS.240322 https://www.americaspg.com/articleinfo/21/show/2834